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Finding the Fourth Proportional to 315,415.90, 473,233.20 and 138,050.20

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Solution

The fourth proportional to 315,415.90, 473,233.20 and 138,050.20 is: 207,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,415.90 : 473,233.20 = 138,050.20 : x
  2. Step 2: Convert to fraction form
    315,415.90/473,233.20 = 138,050.20/x
  3. Step 3: Cross multiply
    315,415.90x = 473,233.20 × 138,050.20
  4. Step 4: Simplify right side
    315,415.90x = 65,329,937,906.64
  5. Step 5: Solve for x
    x = 65,329,937,906.64/315,415.90
  6. Step 6: Final answer
    x = 207,123.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.